2-3(x-4)=9-(3-2x)

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Solution for 2-3(x-4)=9-(3-2x) equation: 


Simplifying
2 + -3(x + -4) = 9 + -1(3 + -2x)

Reorder the terms:
2 + -3(-4 + x) = 9 + -1(3 + -2x)
2 + (-4 * -3 + x * -3) = 9 + -1(3 + -2x)
2 + (12 + -3x) = 9 + -1(3 + -2x)

Combine like terms: 2 + 12 = 14
14 + -3x = 9 + -1(3 + -2x)
14 + -3x = 9 + (3 * -1 + -2x * -1)
14 + -3x = 9 + (-3 + 2x)

Combine like terms: 9 + -3 = 6
14 + -3x = 6 + 2x

Solving
14 + -3x = 6 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
14 + -3x + -2x = 6 + 2x + -2x

Combine like terms: -3x + -2x = -5x
14 + -5x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -5x = 6 + 0
14 + -5x = 6

Add '-14' to each side of the equation.
14 + -14 + -5x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 6 + -14
-5x = 6 + -14

Combine like terms: 6 + -14 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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